Giải hệ phương trình:
1, \(\left\{{}\begin{matrix}x^2+1+y^2+xy=y\\x+y-2=\frac{y}{1+x^2}\end{matrix}\right.\)
2, \(\left\{{}\begin{matrix}x^3+8y^3-4xy^2=1\\2x^4+8y^4-2x-y=0\end{matrix}\right.\)
3, \(\left\{{}\begin{matrix}x^2+y^2=\frac{1}{5}\\4x^2+3x-\frac{57}{25}=-y\left(3x+1\right)\end{matrix}\right.\)
4, \(\left\{{}\begin{matrix}\sqrt{12-y}+\sqrt{y\left(12-x\right)}=12\\x^3-8x-1=2\sqrt{y-2}\end{matrix}\right.\)
5, \(\left\{{}\begin{matrix}\left(1-y\right)\sqrt{x-y}+x=2+\left(x-y-1\right)\sqrt{y}\\2y^2-3x+6y+1=2\sqrt{x-2y}-\sqrt{4x-5y-3}\end{matrix}\right.\)
giải hpt \(\left\{{}\begin{matrix}2\left(x-2\right)^2+\dfrac{1}{\sqrt{y+5}}=3\\\left(x-2\right)^2-\dfrac{2}{\sqrt{y+5}}=-1\end{matrix}\right.\)
Giải hệ phương trình: \(\left\{{}\begin{matrix}\left(y-x\right)\left(x^2+3y\right)=y^2+y+1\\x^2+3x+y=\sqrt{8y+1}+\sqrt{22y-x}\end{matrix}\right.\)
Giải hệ phương trình: \(\left\{{}\begin{matrix}\left(y-x\right)\left(x^2+3y\right)=y^2+y+1\\x^2+3x+y=\sqrt{8y+1}+\sqrt{22y-x}\end{matrix}\right.\)
Giải HPT: \(\left\{{}\begin{matrix}2\sqrt{x}\left(1+\dfrac{1}{x+y}\right)=3\\2\sqrt{y}\left(1-\dfrac{1}{x+y}+1\right)\end{matrix}\right.\)
Giải HPT: \(\left[{}\begin{matrix}\sqrt{x}\left(1+y\right)=2y\\\sqrt{y}\left(1+z\right)=2z\\\sqrt{z}\left(1+x\right)2x\end{matrix}\right.\)
a)\(\left\{{}\begin{matrix}\sqrt{2}x-\sqrt{3}y=1\\x+\sqrt{3}y=\sqrt{2}\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}x-2\sqrt{2}y=\sqrt{5}\\\sqrt{2}x+y=1-\sqrt{10}\end{matrix}\right.\)
c)\(\left\{{}\begin{matrix}\left(\sqrt{2}-1\right)x-y=\sqrt{2}\\x+\left(\sqrt{2}+1\right)y=1\end{matrix}\right.\)
d)\(\left\{{}\begin{matrix}\sqrt{3}x-\sqrt{2}y=1\\\sqrt{2}x+\sqrt{3}y=\sqrt{3}\end{matrix}\right.\)
Giải hpt
\(\left\{{}\begin{matrix}x^3-2y^3+3\left(x-2y\right)=3xy\left(x-y\right)\\2x^3=\left(1+4y-3x^2\right)\sqrt{2x+1}\end{matrix}\right.\)
a)\(\left\{{}\begin{matrix}2x+\left|y\right|=3\\x-y=6\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}\sqrt{3}x+y=\sqrt{2}\\\sqrt{3}x-\sqrt{2}y=-1\end{matrix}\right.\)
c)\(\left\{{}\begin{matrix}2\sqrt{x+3}+\sqrt{y^2-4y+4}=2\\\sqrt{x+3}-3\left|2-y\right|=1\end{matrix}\right.\)